Search a number
-
+
314312999 = 721113311447
BaseRepresentation
bin10010101111000…
…000100100100111
3210220102202101012
4102233000210213
51120431003444
651104452435
710534421300
oct2257004447
9726382335
10314312999
11151470010
128931a11b
135016c830
142da5b7a7
151c8d9b9e
hex12bc0927

314312999 has 48 divisors (see below), whose sum is σ = 443713536. Its totient is φ = 218635200.

The previous prime is 314312989. The next prime is 314313031. The reversal of 314312999 is 999213413.

It is a de Polignac number, because none of the positive numbers 2k-314312999 is a prime.

It is a super-2 number, since 2×3143129992 = 197585322680748002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314312939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216494 + ... + 217940.

It is an arithmetic number, because the mean of its divisors is an integer number (9244032).

Almost surely, 2314312999 is an apocalyptic number.

314312999 is a deficient number, since it is larger than the sum of its proper divisors (129400537).

314312999 is a wasteful number, since it uses less digits than its factorization.

314312999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1509 counting only the distinct ones).

The product of its digits is 52488, while the sum is 41.

The square root of 314312999 is about 17728.8747245842. The cubic root of 314312999 is about 679.9142041410.

It can be divided in two parts, 314 and 312999, that added together give a palindrome (313313).

The spelling of 314312999 in words is "three hundred fourteen million, three hundred twelve thousand, nine hundred ninety-nine".

Divisors: 1 7 11 13 31 49 77 91 143 217 341 403 539 637 1001 1447 1519 2387 2821 4433 7007 10129 15917 16709 18811 19747 31031 44857 70903 111419 131677 206921 217217 313999 493427 583141 779933 921739 1448447 2197993 3453989 4081987 6414551 10139129 24177923 28573909 44901857 314312999